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Height and Distance
The top of a 15 m. high tower makes an angle of elevation of 60 degree with the bottom of an electric pole and an angle of 30 degree with the top of the pole. What is the height of the pole?
1) 12 m.
2) 10 m.
3) 11 m.
4) 5 m.
5) 15 m.
Read Solution (Total 3)
-
- let distance between tower and pole be x & height of pole be y.
x=15/tan60 & (15-y)/x = tan 30
thus solving two equation gives y= 10m
ans. 2) - 8 years agoHelpfull: Yes(5) No(0)
- By simple geometry answer will deduce to 15m
- 8 years agoHelpfull: Yes(0) No(8)
- PBP/HHB (basic trigonometry trick) we will take P/B = tan(o`);
b = distance between pole and tower
hence 15/B= tan 60
5(root(3)) = base
hence p/5root3 = tan 30
p = 5;
so height of pole = 15 -5 = 10 - 7 years agoHelpfull: Yes(0) No(0)
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